The effect of manufacture and assembly joining methods on stiffened panel performance

This paper describes the simulation of representative aircraft wing stiffened panels under axial compression loading, to determine the effects of varying the manufacturing shape and assembly joining methods on stiffened panel performance. T-stiffened and Z-stiffened panels are modelled in Abaqus simulating integral, co-cured and mechanically fastened joints. The panels are subject to an edge compressive displacement along the stiffener axis until failure and the ultimate failure load and buckling performance is assessed for each. Integral panels consistently offer the highest performance. Co-cured panels demonstrate reduced performance (3-5% reduction in ultimate load relative to integral) caused by localised cohesive failure and skin-stiffener separation. The mechanically fastened panels are consistently the weakest joint (19-25% reduction in ultimate load relative to integral) caused primarily by inter-rivet buckling between fasteners

Optimising postbuckling composite panels for damage resistance

The design of current composite primary aerostructures, such as fuselage or wing stiffened panels, tends to be conservative due to the susceptibility of the relatively weak skin-stiffener interface. This weakness is due to through-thickness stresses which are exacerbated by deformations due to buckling. This paper presents a finite-elementbased optimization strategy, utilizing a global-local modelling approach, for postbuckling stiffened panels which takes into account damage mechanisms which may lead to delamination and subsequent failure of the panel due to stiffener debonding. A genetic algorithm was linked to a finite element package to automate the iterative procedure and maximize the damage resistance of the panel in postbuckling. For a given loading condition, the procedure optimized the panel’s skin layup leading to a design displaying superior damage resistance compared to non-optimized designs

An Automated Design Framework for Assembly Task Simulation

This paper presents an automated design framework for the development of individual part forming tools for a composite stiffener. The framework uses parametrically developed design geometries for both the part and its layup tool. The framework has been developed with a functioning user interface where part / tool combinations are passed to a virtual environment for utility based assessment of their features and assemblability characteristics. The work demonstrates clear benefits in process design methods with conventional design timelines reduced from hours and days to minutes and seconds. The methods developed here were able to produce a digital mock up of a component with its associated layup tool in less than 3 minutes. The virtual environment presenting the design to the designer for interactive assembly planning was generated in 20 seconds. Challenges still exist in determining the level of reality required to provide an effective learning environment in the virtual world. Full representation of physical phenomena such as gravity, part clashes and the representation of standard build functions require further work to represent real physical phenomena more accurately.

Analytical Investigations 0n Collapse of Cylindrical Submarine Shells

Submarine hull structure is a watertight envelope, under hydrostatic pressure when in operation. Stiffened cylindrical shells constitute the major portion of these submarine hulls and these thin shells under compression are susceptible to buckling failure. Normally loss of stability occurs at the limit point rather than at the bifurcation point and the stability analysis has to consider the change in geometry at each load step. Hence geometric nonlinear analysis of the shell forms becomes. a necessity. External hydrostatic pressure will follow the deformed configuration of the shell and hence follower force effect has to be accounted for. Computer codes have been developed based on all-cubic axisymmetric cylindrical shell finite element and discrete ring stiffener element for linear elastic, linear buckling and geometric nonIinear analysis of stiffened cylindrical shells. These analysis programs have the capability to treat hydrostatic pressure as a radial load and as a follower force. Analytical investigations are carried out on two attack submarine cylindrical hull models besides standard benchmark problems. In each case, the analysis has been carried out for interstiffener, interdeepframe and interbulkhead configurations. The shell stiffener attachment in each of this configuration has been represented by the simply supported-simply supported, clamped-clamped and fixed-fixed boundary conditions in this study. The results of the analytical investigations have been discussed and the observations and conclusions are described. Rotation restraint at the ends is influential for interstiffener and interbulkhead configurations and the significance of axial restraint becomes predominant in the interbulkhead configuration. The follower force effect of hydrostatic pressure is not significant in interstiffener and interdeepframe configurations where as it has very high detrimental effect on buckling pressure on interbulkhead configuration. The geometric nonlinear interbulkhead analysis incorporating follower force effect gives the critical value of buckling pressure and this analysis is recommended for the determination of collapse pressure of stiffened cylindrical submarine shells.

Investigations on Structural response of Water Backed Perforated plates

The study envisaged herein contains the numerical investigations on Perforated Plate (PP) as well as numerical and experimental investigations on Perforated Plate with Lining (PPL) which has a variety of applications in underwater engineering especially related to defence applications. Finite element method has been adopted as the tool for analysis of PP and PPL. The commercial software ANSYS has been used for static and free vibration response evaluation, whereas ANSYS LS-DYNA has been used for shock analysis. SHELL63, SHELL93, SOLID45, SOLSH190, BEAM188 and FLUID30 finite elements available in the ANSYS library as well as SHELL193 and SOLID194 available in the ANSYS LS-DYNA library have been made use of. Unit cell of the PP and PPL which is a miniature of the original plate with 16 perforations have been used. Based upon the convergence characteristics, the utility of SHELL63 element for the analysis of PP and PPL, and the required mesh density are brought out. The effect of perforation, geometry and orientation of perforation, boundary conditions and lining plate are investigated for various configurations. Stress concentration and deflection factor are also studied. Based on these investigations, stadium geometry perforation with horizontal orientation is recommended for further analysis.Linear and nonlinear static analysis of PP and PPL subjected to unit normal pressure has been carried out besides the free vibration analysis. Shock analysis has also been carried out on these structural components. The analytical model measures 0.9m x 0.9m with stiffener of 0.3m interval. The influence of finite element, boundary conditions, and lining plate on linear static response has been estimated and presented. Comparison of behavior of PP and PPL in the nonlinear strain regime has been made using geometric nonlinear analysis. Free vibration analysis of the PP and PPL has been carried out ‘in vacuum’ condition and in water backed condition, and the influence of water backed condition and effect of perforation on natural frequency have been investigated.Based upon the studies on the vibration characteristics of NPP, PP and PPL in water backed condition and ‘in vacuum’ condition, the reduction in the natural frequency of the plate in immersed condition has been rightly brought out. The necessity to introduce the effect of water medium in the analysis of water backed underwater structure has been highlighted.Shock analysis of PP and PPL for three explosives viz., PEK, TNT and C4 has been carried out and deflection and stresses on plate as well as free field pressure have been estimated using ANSYS LS-DYNA. The effect of perforations and the effect of lining plate have been predicted. Experimental investigations of the measurement of free field pressure using PPL have been conducted in a shock tank. Free field pressure has been measured and has been validated with finite element analysis results. Besides, an experiment has been carried out on PPL, for the comparison of the static deflection predicted by finite element analysis.The distribution of the free field pressure and the estimation of differential pressure from experimentation and the provision for treating the differential pressure as the resistance, as a part of the design load for PPL, has been brought out.

Acoustic radiation and scattering from cylindrical bodies and analysis of transducer arrays

New mathematical methods to analytically investigate linear acoustic radiation and scattering from cylindrical bodies and transducer arrays are presented. Three problems of interest involving cylinders in an infinite fluid are studied. In all the three problems, the Helmholtz equation is used to model propagation through the fluid and the beam patterns of arrays of transducers are studied. In the first problem, a method is presented to determine the omni-directional and directional far-field pressures radiated by a cylindrical transducer array in an infinite rigid cylindrical baffle. The solution to the Helmholtz equation and the displacement continuity condition at the interface between the array and the surrounding water are used to determine the pressure. The displacement of the surface of each transducer is in the direction of the normal to the array and is assumed to be uniform. Expressions are derived for the pressure radiated by a sector of the array vibrating in-phase, the entire array vibrating in-phase, and a sector of the array phase-shaded to simulate radiation from a rectangular piston. It is shown that the uniform displacement required for generating a source level of 220 dB ref. μPa @ 1m that is omni directional in the azimuthal plane is in the order of 1 micron for typical arrays. Numerical results are presented to show that there is only a small difference between the on-axis pressures radiated by phased cylindrical arrays and planar arrays. The problem is of interest because cylindrical arrays of projectors are often used to search for underwater objects. In the second problem, the errors, when using data-independent, classical, energy and split beam correlation methods, in finding the direction of arrival (DOA) of a plane acoustic wave, caused by the presence of a solid circular elastic cylindrical stiffener near a linear array of hydrophones, are investigated. Scattering from the effectively infinite cylinder is modeled using the exact axisymmetric equations of motion and the total pressures at the hydrophone locations are computed. The effect of the radius of the cylinder, a, the distance between the cylinder and the array, b, the number of hydrophones in the array, 2H, and the angle of incidence of the wave, α, on the error in finding the DOA are illustrated using numerical results. For an array that is about 30 times the wavelength and for small angles of incidence (α<10), the error in finding the DOA using the energy method is less than that using the split beam correlation method with beam steered to α; and in some cases, the error increases when b increases; and the errors in finding the DOA using the energy method and the split beam correlation method with beam steered to α vary approximately as a7 / 4 . The problem is of interest because elastic stiffeners – in nearly acoustically transparent sonar domes that are used to protect arrays of transducers – scatter waves that are incident on it and cause an error in the estimated direction of arrival of the wave. In the third problem, a high-frequency ray-acoustics method is presented and used to determine the interior pressure field when a plane wave is normally incident on a fluid cylinder embedded in another infinite fluid. The pressure field is determined by using geometrical and physical acoustics. The interior pressure is expressed as the sum of the pressures due to all rays that pass through a point. Numerical results are presented for ka = 20 to 100 where k is the acoustic wavenumber of the exterior fluid and a is the radius of the cylinder. The results are in good agreement with those obtained using field theory. The directional responses, to the plane wave, of sectors of a circular array of uniformly distributed hydrophones in the embedded cylinder are then computed. The sectors are used to simulate linear arrays with uniformly distributed normals by using delays. The directional responses are compared with the output from an array in an infinite homogenous fluid. These outputs are of interest as they are used to determine the direction of arrival of the plane wave. Numerical results are presented for a circular array with 32 hydrophones and 12 hydrophones in each sector. The problem is of interest because arrays of hydrophones are housed inside sonar domes and acoustic plane waves from distant sources are scattered by the dome filled with fresh water and cause deterioration in the performance of the array.

Strength and serviceability performance of beams reinforced with GFRP bars in flexure

Glass fiber reinforced polymer (GFRP) rebars have been identified as an alternate construction material for reinforcing concrete during the last decade primarily due to its strength and durability related characteristics. These materials have strength higher than steel, but exhibit linear stress–strain response up to failure. Furthermore, the modulus of elasticity of GFRP is significantly lower than that of steel. This reduced stiffness often controls the design of the GFRP reinforced concrete elements. In the present investigation, GFRP reinforced beams designed based on limit state principles have been examined to understand their strength and serviceability performance. A block type rotation failure was observed for GFRP reinforced beams, while flexural failure was observed in geometrically similar control beams reinforced with steel rebars. An analytical model has been proposed for strength assessment accounting for the failure pattern observed for GFRP reinforced beams. The serviceability criteria for design of GFRP reinforced beams appear to be governed by maximum crack width. An empirical model has been proposed for predicting the maximum width of the cracks. Deflection of these GFRP rebar reinforced beams has been predicted using an earlier model available in the literature. The results predicted by the analytical model compare well with the experimental data

Efectos fisiológicos de la termorregulación en trabajadores expuestos a altas temperaturas en una Siderúrgica en Colombia.

La exposición a altas temperaturas en ambientes laborales conlleva a cambios fisiológicos que se manifiestan como mecanismos de compensación a la alteración del equilibrio homeostático corporal. El propósito del presente estudio fue determinar los cambios y el comportamiento de variables fisiológicas a través de frecuencia cardiaca, densidad urinaria, temperatura corporal y tasa de sudoración, en dos escenarios con condiciones térmicas ambientales diferentes definidas por la exposición (grupo expuesto y no expuesto). Adicional, en dos áreas de trabajo diferentes correspondientes al proceso de fundición del acero, una de ellas, Horno electrico donde se hace la fusión de la chatarra y demás materias primas, obteniendo así el acero liquido, el cual se vuelca en el Horno Cuchara y en este, libre ya de escoria se realiza el afino y ajuste definitivo de la composición química del acero. Objetivos: Identificar la relación de las respuestas fisiológicas a carga física y térmica, comparar las respuestas funcionales registradas en el grupo expuestos y no expuestos y contribuir a la introducción de nuevos indicadores para evaluar carga e intensidad de trabajo con fines de normalización ergonómica. Método: Investigación experimental en una muestra de 30 trabajadores evaluados en dos condiciones ambientales diferentes. La temperatura oral se registró al inicio de la jornada y con intervalos de toma de 3 horas. La frecuencia cardiaca (HR) se registró durante las 8 horas de trabajo continuas con pulsometría. Igualmente, se estimó la sudoración por pérdida de masa corporal entre el inicio y el final de la jornada laboral teniendo en cuenta ingestas y perdidas. El procesamiento estadístico se realizó con el programa SPSS v. 20.0, calculándose medidas de tendencia central y dispersión, prueba de wilconxon para las variables dependientes y correlación para identificar asociaciones. Para todos los cálculos se asumió p <0,05. Resultados: No se observaron diferencias significativas frente a la variación de la frecuencia cardiaca (media y máxima), la tasa de sudoración y la densidad urinaria. A pesar de que no hubo diferencias significativas en la variación de la temperatura corporal en horno cuchara, si se observó una diferencia significativa en el horno eléctrico Conclusión: Aunque no se encontraron diferencias estadísticamente significativas en la mayoría de las variables, es un hecho que la exposición a temperaturas elevadas extremas tiene un impacto en el comportamiento fisiológico del organismo. Futuros estudios deben considerar la posibilidad de estandarizar protocolos que permitan la exposición térmica basada en el perfil particular de cada trabajador.

2D evaluation of crack openings using smeared and embedded crack models

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Estudo da variação do limite de resistência à tração ao longo da bobina de vergalhão de alumínio 1350 AA

Therebar of aluminum 1350 AA produced by CBA are used inthe manufacture of wires and cables for electric power transmission, which marketshows increasingly favorableto aluminum due to itslow densityand high electrical conductivity, but to ensure that this materialmeets all specifications of projectsfor electricity transmission, it must have homogeneity in the chemicaland mechanicalproperties.One of the points of improvement in the process of rod production isreducing the high variation of the limitof tensile strengthalong the coils, therefore, this work seeks a better understanding of the factors that significantly influence the mechanical properties of rebar, specifically assessing the influence oftemperatureat the output of the coils, which can cause a recovery effect on the material andif thereare relevantdifferences between the two modes of rebar production: auto and manual.Samples of six coils have been specifically produced forthis study, which weresubsequently subjected to different annealing temperatures for one hour and ten minutes, similar to what occurs in the output of the coil from the machine. The tensile tests showed that aluminum 1350 AA is significantly influenced by temperature, whose behavior was very similar to that presented in the literature. It was found that the phenomenon of recovery occurred more significantly at high temperatures. Through the optical electron microscope Zeiss, 18 surface maps were made with 100x magnification for each sample in different conditions and the images were analyzed using entropy and fractal dimension, aiming to relate the condition of surface hardening on mechanical property of the samples in that condition. The results showed that these methods can be applied, provided they do not have any kind of imperfection on the surface, once they can influence the results. The study concluded that a more efficient cooling is required in ... (Complete abstract click electronic access below)

Estudo da aderência entre o concreto celular e as barras de aço

Pós-graduação em Engenharia Civil - FEIS

EXPERIMENTAL INVESTIGATION OF FOLDED PLATE GIRDERS AND SLAB JOINTS USED IN MODULAR CONSTRUCTION

The folded plate girder, a newly proposed bridge girder, is investigated through this thesis. The folded plate girder is cold bent out of a single sheet of steel. The cold bending eliminates the costly and inconsistent shop welds found in traditional girders. The folded plate girder is meant for application in short span bridges. The girder was subjected to an equivalent 75 year lifetime loading to investigate the fatigue performance. The rebar detail used in the closure region between adjacent slabs has been investigated in the past by the NCHRP 12-68 project. This thesis will proposes a hooked rebar detail as a cost effective alternative to the previously recommended headed rebar detail. The proposed hooked rebar detail looks to improve upon the headed bar detail by increasing the clear cover, and reducing the cost of fabrication and shipment of the rebar. Six specimens containing closure regions are subjected to both positive and negative moment loading in order to investigate their behavior and failure modes under ultimate load.

Comparative study of anchorage strengths of epoxy coated hooked bars

Hooked reinforcing bars (rebar) are used frequently to carry the tension forces developed in beams and transferred to columns. Research into epoxy coated hooked bars has only been minimally performed and no research has been carried out incorporating the coating process found in ASTM A934. This research program compares hooked rebar that are uncoated, coated by ASTM A775, and coated by ASTM A934. In total, forty-two full size beam-column specimens were created, instrumented and tested to failure. The program was carried out in three phases. The first phase was used to refine the test setup and procedures. Phase two explored the spacing of column ties within the joint region. Phase three explored the three coating types found above. Each specimen included two hooked rebar which were loaded and measured independently for relative rebar slip. The load and displacement of the hooked rebar were analyzed, focusing on behavior at the levels of 30 ksi, 42 ksi and 60 ksi of rebar stress. Statistical and general comparisons were made using the coating types, tie spacing, and rebar stress level. Many of the parameters composing the rebar and concrete were also tested to characterize the components and specimens. All rebar tested met ASTM standards for tensile strength, but the newer ASTM A934 method seemed to produce slightly lower yield strengths. The A934 method also produced coating thicknesses that were very inconsistent and were higher than ASTM maximum limits in many locations. Continuity of coating surfaces was found to be less than 100% for both A775 and A934 rebar, but for different reasons. The many comparisons made did not always produce clear conclusions. The data suggests that the ACI Code (318-05) parameter of 1.2 for including epoxy coating on hooked rebar may need to be raised, possibly to 2.5, but more testing needs to be performed before such a large value change is set forth. This is particularly important as variables were identified which may have a larger influence on rebar capacity than the Development Length, of which the current 1.2 factor modifies. Many suggestions for future work are included throughout the thesis to help guide other researchers in carrying out successful and productive programs which will further the highly understudied topic of hooked rebar.

Coupled model of initiation and propagation of corrosion in reinforced concrete

Corrosion of reinforcing steel in concrete due to chloride ingress is one of the main causes of the deterioration of reinforced concrete structures. Structures most affected by such a corrosion are marine zone buildings and structures exposed to de-icing salts like highways and bridges. Such process is accompanied by an increase in volume of the corrosión products on the rebarsconcrete interface. Depending on the level of oxidation, iron can expand as much as six times its original volume. This increase in volume exerts tensile stresses in the surrounding concrete which result in cracking and spalling of the concrete cover if the concrete tensile strength is exceeded. The mechanism by which steel embedded in concrete corrodes in presence of chloride is the local breakdown of the passive layer formed in the highly alkaline condition of the concrete. It is assumed that corrosion initiates when a critical chloride content reaches the rebar surface. The mathematical formulation idealized the corrosion sequence as a two-stage process: an initiation stage, during which chloride ions penetrate to the reinforcing steel surface and depassivate it, and a propagation stage, in which active corrosion takes place until cracking of the concrete cover has occurred. The aim of this research is to develop computer tools to evaluate the duration of the service life of reinforced concrete structures, considering both the initiation and propagation periods. Such tools must offer a friendly interface to facilitate its use by the researchers even though their background is not in numerical simulation. For the evaluation of the initiation period different tools have been developed: Program TavProbabilidade: provides means to carry out a probability analysis of a chloride ingress model. Such a tool is necessary due to the lack of data and general uncertainties associated with the phenomenon of the chloride diffusion. It differs from the deterministic approach because it computes not just a chloride profile at a certain age, but a range of chloride profiles for each probability or occurrence. Program TavProbabilidade_Fiabilidade: carries out reliability analyses of the initiation period. It takes into account the critical value of the chloride concentration on the steel that causes breakdown of the passive layer and the beginning of the propagation stage. It differs from the deterministic analysis in that it does not predict if the corrosion is going to begin or not, but to quantifies the probability of corrosion initiation. Program TavDif_1D: was created to do a one dimension deterministic analysis of the chloride diffusion process by the finite element method (FEM) which numerically solves Fick’second Law. Despite of the different FEM solver already developed in one dimension, the decision to create a new code (TavDif_1D) was taken because of the need to have a solver with friendly interface for pre- and post-process according to the need of IETCC. An innovative tool was also developed with a systematic method devised to compare the ability of the different 1D models to predict the actual evolution of chloride ingress based on experimental measurements, and also to quantify the degree of agreement of the models with each others. For the evaluation of the entire service life of the structure: a computer program has been developed using finite elements method to do the coupling of both service life periods: initiation and propagation. The program for 2D (TavDif_2D) allows the complementary use of two external programs in a unique friendly interface: • GMSH - an finite element mesh generator and post-processing viewer • OOFEM – a finite element solver. This program (TavDif_2D) is responsible to decide in each time step when and where to start applying the boundary conditions of fracture mechanics module in function of the amount of chloride concentration and corrosion parameters (Icorr, etc). This program is also responsible to verify the presence and the degree of fracture in each element to send the Information of diffusion coefficient variation with the crack width. • GMSH - an finite element mesh generator and post-processing viewer • OOFEM – a finite element solver. The advantages of the FEM with the interface provided by the tool are: • the flexibility to input the data such as material property and boundary conditions as time dependent function. • the flexibility to predict the chloride concentration profile for different geometries. • the possibility to couple chloride diffusion (initiation stage) with chemical and mechanical behavior (propagation stage). The OOFEM code had to be modified to accept temperature, humidity and the time dependent values for the material properties, which is necessary to adequately describe the environmental variations. A 3-D simulation has been performed to simulate the behavior of the beam on both, action of the external load and the internal load caused by the corrosion products, using elements of imbedded fracture in order to plot the curve of the deflection of the central region of the beam versus the external load to compare with the experimental data.

Comportamiento estructural de tuberías forzadas y blindajes en saltos hidroeléctricos : propuestas de diseño y cálculo

En los últimos años ha aumentado el interés en el desarrollo de proyectos en el ámbito de las centrales hidroeléctricas y en concreto en las centrales reversibles. Estas centrales están diseñadas para grandes caudales y saltos, lo cual conlleva túneles de gran diámetro y alta presión y a menudo son esquemas subterráneos. Por ello, los estudios relativos a revestimientos de túneles en presión y los referentes a los blindajes de acero han cobrado una mayor relevancia. En las décadas de los 60 y 70 se realizó una importante labor de investigación coincidiendo con el desarrollo hidroeléctrico en Europa y Norteamérica, que sin embargo ha quedado sin continuidad hasta esta década, en la que se ha experimentado un impulso debido al desarrollo de nuevos proyectos hidroeléctricos de gran magnitud. La adecuación de los métodos de cálculo de blindajes supone una herramienta imprescindible en el correcto desarrollo técnico de los nuevos proyectos hidroeléctricos, así como para la evaluación de la seguridad de los saltos hidroeléctricos existentes en operación. En la presente Tesis se realiza un análisis del comportamiento estructural de las galerías en presión de saltos hidroeléctricos, así como una discusión y revisión de los métodos de cálculo existentes. En concreto se analizan los siguientes aspectos: •Descripción y comparación de las formulaciones existentes para el cálculo de blindajes tanto a presión exterior como interior. •Aplicación del Método de Elementos Finitos para la modelización y cálculo resistente y frente a inestabilidad de blindajes sometidos a presión exterior. •Análisis de un caso real, en el que se ha producido un fallo estructural en un blindaje sometido a presión exterior. Discusión sobre el comportamiento de blindajes con rigidizadores. Estudio paramétrico de la capacidad resistente y de la estabilidad de los blindajes con rigidizadores. •Estudio del comportamiento diferenciado entre un rigidizador y un conector. •Detalles constructivos y de durabilidad de las galerías en presión. •Desarrollo de una metodología para el cálculo de blindajes y tuberías forzadas a fatiga derivada de las variaciones de presión de la conducción. •Análisis de un caso real de una tubería forzada sometida a procesos de variación de carga, evaluando su seguridad frente a la fatiga. El cálculo de blindajes en galerías forzadas presenta una serie de aspectos complejos, y que no permiten la definición del problema con exactitud, tales como las características del macizo rocoso y su permeabilidad, la determinación del nivel freático, la holgura existente entre el blindaje y el revestimiento del trasdós y sus posibles defectos geométricos. Por estas incertidumbres, el cálculo de blindajes supone una materia compleja y que debe ser abordada desde la cautela y el análisis de otros trabajos y/o análisis realizados con anterioridad. En cualquier caso, debe realizarse un análisis de sensibilidad de los diversos parámetros que intervienen en el cálculo. En esta tesis se han descrito las principales formulaciones de cálculo de blindajes de galerías forzadas sometidas a presión interior y exterior; se ha constatado que existe una gran diversidad y que de su aplicación no se llega a resultados concluyentes. Las formulaciones clásicas utilizadas en el cálculo de blindajes lisos y con rigidizadores sometidos a presión exterior (Amstutz y Jacobsen) no resultan del todo adecuadas ni son de aplicación general. Además, pueden arrojar resultados no conservadores o conducir a un sobredimensionamiento del blindaje en otros casos. En las formulaciones tradicionales de diseño se han tenido en cuenta como imperfecciones la holgura del blindaje y la ovalidad del mismo. En la presente tesis, se han analizado imperfecciones de tipo ondulatorio derivadas de los procesos de soldadura y la existencia de espesores reducidos en zonas de corrosión. En el caso práctico analizado sometido a presión exterior, se ha comprobado el funcionamiento real del blindaje mediante los modelos realizados con elementos finitos. Se desprende que los rigidizadores no han funcionado como tales, puesto que para blindajes lisos se obtienen presiones más bajas de pandeo y para el caso de funcionamiento correcto de los rigidizadores se habría obtenido un coeficiente de seguridad suficiente. Por este motivo, se ha analizado el posible funcionamiento de los rigidizadores, que en determinados casos pueden actuar como conectores. En estos casos deben dimensionarse de forma adecuada las soldaduras para soportar las tensiones entre chapa y conector. Por otra parte, tradicionalmente no se han tenido en cuenta los efectos de fatiga que pueden ocasionar los golpes de ariete y las pulsaciones de presión debidas a la regulación secundaria de la red. En esta tesis se ha establecido un procedimiento de comprobación de tuberías forzadas y blindajes sometidos a procesos de fatiga. Adicionalmente, se ha estudiado el caso real de las tuberías forzadas de una central reversible real (Bolarque II) en funcionamiento de regulación secundaria. Se ha concluido, como en otros casos analizados en la bibliografía, que las pulsaciones derivadas de la regulación secundaria no son significativas como para tener en cuenta la fatiga del acero. Por otra parte, las maniobras de arranque y parada (golpe de ariete) suponen una variación importante de la presión en la conducción. Sin embargo, el moderado número de ciclos permite asegurar la integridad de la tubería frente a fenómenos de fatiga. Nowadays, there is a significant concern in the development of projects in the field of hydroelectric power plants, particularly in the pump-storage projects. These plants are designed for high flow rates and heads, which entails large-diameter tunnels and high pressure ratios), and often as underground schemes. Therefore, this concern has reactivated studies about penstocks and in particular those related to steel liners. During the 1960s and 1970s due to hydropower-engineering development in Europe and North America, a major research effort was done. However, the increasing development of new large-scale hydropower projects has involved a renewed research effort during this decade. The adequacy of steel liner calculation methods is a very important issue in the proper technical development of new hydroelectric projects, and for the safety assessment of existing hydroelectric power plants in operation. In this work, an analysis of the structural behavior of pressure galleries in hydroelectric schemes was carried out. Also, a discussion and a review of existing calculation methods are included. In particular, the following issues have been considered: •Description and comparison of existing formulations for calculating the liner response to both external and internal pressure. •Analysis of an actual case study of a steel liner which failed due to external pressure. •Application of the Finite Element Method to liner modeling and analysis subjected to external pressure. •A parametric study of the shielding with stiffeners and discussion about the behavior of liner with stiffeners. •Constructive aspects and durability of pressure galleries. •Development of a methodology for estimating fatigue effects on penstocks and liners sue to pressure changes. •Analysis of an actual case study of a penstock under varying load and assessment of its safety against fatigue. The project of a hydropower penstock is a complex issue, due to the uncertainties in the definition of the problem data, such as the characteristics of the rock mass and its permeability, the determination of the water table, the existing gap between the steel liner and the concrete of the backfill, the geometric imperfections... Hence, the design and analysis of a steel liner must be addressed cautiously and take into account a review of previous studies performed. Ever, a sensitivity analysis of the various parameters involved in the calculation should be performed. In this work, some of the most relevant formulations for liner design subjected to inside and outside pressure have been studied. As a whole, there is a wide variety and its application does not lead to conclusive results. The classical formulations used in the steel liner calculation either with or without stiffeners under external pressure (Amstutz and Jacobsen) are not entirely adequate Also, those can yield both conservative and non-conservative results in large ranges of application. Traditionally design approaches only considered initial gap and ovality as the most relevant geometric imperfections. Thus, little attention was paid to those caused either by welding or by thickness loss in corroded areas. In the case study analyzed in this thesis, the actual working of the liner under external pressure has been simulated by the Finite Element Method. Results show that the stiffeners have not performed as such, since for unstiffened liner lower buckling pressures are obtained and for proper performance of the stiffeners would give a sufficient safety factor. Hence, it must be pointed out that stiffeners may perform either as such or as connectors. For the latter, welding must be designed to properly withstand stresses between the shell and the stiffener. Likewise, the potential fatigue effects due to both water hammer and pressure pulsations due to secondary regulation of the network have not been considered in many studies. It has been included in this work a procedure for checking penstocks and liners under fatigue processes. Additionally, the penstock fatigue response of an actual pump storage project (Bolarque II, Spain) subjected to secondary control operation has been assessed. As in other cases discussed in the literature, pulsations derived from the secondary control are not significant to account for fatigue of steel. Moreover, the start and stop manoeuvres (water hammer) cause a significant change in penstock pressure. However, the moderate number of cycles ensures the integrity of the penstock against fatigue phenomena.